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Finding the Fourth Proportional to 514.75, 708.79 and 440.92

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Solution

The fourth proportional to 514.75, 708.79 and 440.92 is: 607.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.75 : 708.79 = 440.92 : x
  2. Step 2: Convert to fraction form
    514.75/708.79 = 440.92/x
  3. Step 3: Cross multiply
    514.75x = 708.79 × 440.92
  4. Step 4: Simplify right side
    514.75x = 312,519.69
  5. Step 5: Solve for x
    x = 312,519.69/514.75
  6. Step 6: Final answer
    x = 607.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.